Best Known (13, 13+19, s)-Nets in Base 9
(13, 13+19, 64)-Net over F9 — Constructive and digital
Digital (13, 32, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
(13, 13+19, 998)-Net in Base 9 — Upper bound on s
There is no (13, 32, 999)-net in base 9, because
- 1 times m-reduction [i] would yield (13, 31, 999)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 383799 477242 234115 774894 638329 > 931 [i]